A Symbolic Computational Approach to a Problem Involving Multivariate Poisson Distributions
By Eduardo Sontag and Doron Zeilberger
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LaTeX source
Written: June 3, 2009.
[Appeared in Advances in Applied Mathematics v. 44 (2010), 359-377.]
How many Prussian officers per year do you expect to be kicked by their horses?
How many Email messages will you get today? How many people will
show up in your favorite restaurant? All these are easy. But what if you know
that twice the number of Prussian officers plus three times the letters plus twice the
number of diners equals something, and you want to predict the individual numbers,
what would you do? Read this paper, to find the answers!
[Of course, there are many other, more "serious" applications, to Biology and elsewhere
(and phone calls!).]
Maple Package
Important: This article is accompanied by Maple
package
MVPoisson
[Version of March 15, 2010, incorporating helpful comments of Arthur Hipke]
Sample Input and Output for MVPoisson